# Euler Factors of 1-5200-5200.61-r0-0-0 downloaded from the LMFDB on 05 September 2025. {"bad_lfactors": [[2, [[1.0, 0.0]]], [5, [[1.0, 0.0]]], [13, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [-0.9945218953682733, -0.10452846326765308]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [11, [[1.0, 0.0], [0.20791169081775993, 0.9781476007338055]]], [13, [[1.0, 0.0]]], [17, [[1.0, 0.0], [-0.10452846326765378, -0.9945218953682733]]], [19, [[1.0, 0.0], [0.9945218953682733, -0.10452846326765378]]], [23, [[1.0, 0.0], [0.9781476007338055, -0.20791169081775993]]], [29, [[1.0, 0.0], [-0.9945218953682733, -0.10452846326765308]]], [31, [[1.0, 0.0], [-0.8090169943749473, 0.5877852522924731]]], [37, [[1.0, 0.0], [-0.743144825477395, -0.6691306063588571]]], [41, [[1.0, 0.0], [-0.6691306063588571, 0.743144825477395]]], [43, [[1.0, 0.0], [0.8660254037844388, 0.5]]], [47, [[1.0, 0.0], [-0.8090169943749476, -0.5877852522924729]]], [53, [[1.0, 0.0], [-0.5877852522924724, 0.8090169943749479]]], [59, [[1.0, 0.0], [-0.20791169081775857, 0.9781476007338057]]], [61, [[1.0, 0.0], [-0.7431448254773941, 0.6691306063588582]]], [67, [[1.0, 0.0], [-0.40673664307580004, 0.9135454576426009]]], [71, [[1.0, 0.0], [-0.9135454576426003, 0.4067366430758013]]], [73, [[1.0, 0.0], [-0.3090169943749463, 0.9510565162951539]]], [79, [[1.0, 0.0], [-0.8090169943749476, -0.5877852522924729]]], [83, [[1.0, 0.0], [-0.5877852522924735, -0.809016994374947]]], [89, [[1.0, 0.0], [0.9781476007338055, -0.20791169081775993]]], [97, [[1.0, 0.0], [0.9135454576426006, -0.4067366430758007]]], [101, [[1.0, 0.0], [-0.8660254037844382, 0.5]]]]}